Chelsea is graphing the function f ( x ) = 20 ( 1 /4 ) ^x. She begins by plotting the initial value. Which graph represents her first step?

Option A: The first step is plotting the point

Explanation:

Chelsea is graphing the function

She begins plotting the initial value.

From the graph, we need to determine the graph that represents her first step. To determine the first step, we need to determine the initial value.

Let us compare the given function with the exponential equation of the curve

where

a is the initial value,

b is the change factor,

x is the independent variable and

y is the dependent variable.

The initial value of the function is the value of y which can be determined by substituting

Hence, substituting in , we get,

Thus, the initial value of the function is

Hence, the graph represents Chelsea's first step is plotting the point

Therefore, Option A is the correct answer.

The attached graph shows the result of the correct answer.